Mathematical physics, including mathematics, is a research area where novel mathematical techniques are invented to tackle problems in physics, and where novel mathematical ideas find an elegant physical realization. Historically, it would have been impossible to distinguish between theoretical physics and pure mathematics. Often spectacular advances were seen with the concurrent development of new ideas and fields in both mathematics and physics. Here one might note Newton's invention of modern calculus to advance the understanding of mechanics and gravitation. In the twentieth century, quantum theory was developed almost simultaneously with a variety of mathematical fields, including linear algebra, the spectral theory of operators and functional analysis. This fruitful partnership continues today with, for example, the discovery of remarkable connections between gauge theories and string theories from physics and geometry and topology in mathematics.
Format results
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18 talks-Collection NumberC17001
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Deformation Quantization of Shifted Poisson Structures
17 talks-Collection NumberC16005 -
Mathematica Summer School
18 talks-Collection NumberC15040 -
2-dimensional topological field theories via the genus filtration
Jan Steinebrunner -
Edge-colored graphs and exponential integrals
Maximilian Wiesmann Max Planck Institute for Mathematics in the Sciences
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Perverse coherent sheaves and cluster categorifications
Ilya Dumanskiy Massachusetts Institute of Technology (MIT) - Department of Mathematics
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Lecture - Mathematical Physics, PHYS 777
Kevin Costello Perimeter Institute for Theoretical Physics
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Topological Feynman integrals and the odd graph complex
Paul-Hermann Balduf -
Lecture - Mathematical Physics, PHYS 777
Kevin Costello Perimeter Institute for Theoretical Physics
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Lecture - Mathematical Physics, PHYS 777
Kevin Costello Perimeter Institute for Theoretical Physics
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Lecture - Mathematical Physics, PHYS 777
Kevin Costello Perimeter Institute for Theoretical Physics
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